Homework 7, Problem 6:   A vertical spring has a length of 0.25 m when a 0.225 kg mass hangs from it, and a length of 0.775 m when a 2.1 kg mass hangs from it. Part (a)  What is the force constant of the spring, in newtons per meter?  k = ______ Part (b)  What is the unloaded length of the spring, in centimeters? L0  ______

PART A) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0cm^2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) Express your answer using two significant figures.        PART B)  Estimate the maximum height from which a 70kg man could jump and not fracture the tibia. Take the time between when he first touches the floor and when he has stopped to be 0.006s, and assume that the stress is distributed equally between his legs. Express your answer using two significant figures.         Thank you!!!

Figure x Part A - Moment due to a force specified by magnitude and endpoints F As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) VE ΑΣΦ ↓↑ vec Mo 0.013,97.9, - 196 Submit The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m, y₁ = 2.60 m, and z₁ = 1.30 m. B What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Previous Answers X Incorrect; Try Again; 4 attempts remaining 1 of 3 ? i, j, k] N · m

What is the magnitude of the force acting on a substance if the magnitude of the change in length is (4 cm) and the amount of the constant is (N 625)?

Tension force has units of ________. Check all that apply 1kg 2m/s 3N 4m/s2 5kg m/s2 6Tesla (T)

A cube with the dimensions bXbXb with mass m lies on the flat horizontal ground. One the side shown in the figure. The thickness normal to the plane of the figure is b. The cube is subject to the earth's gravity and the friction coefficient between the cube abd the ground is mu. Express your answer in terms of the given variables. What is the minimum force required to produce sliding? What is the minumum force required to produce tipping of the cube? Assume the cube is rotating about O. Impulsive horizontal loading L is applied on the edge B such that force F(t) is applied during the very short time delta t: where L= the integral from zero to delta t of F(t)dt. What is the minimum value of the impulse for which the cube tips over and falls on side OA.

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

Four acrobats of mass 72.0 kg, 68.0 kg, 62.0 kg, and 55.0 kg form a human tower, with each acrobat standing on the shoulders of another acrobat. The 72.0-kg acrobat is at the bottom of the tower. (a) What is the normal force acting on the 72.0-kg acrobat? (Enter the magnitude only.) N (b) If the area of each of the 72.0-kg acrobat's shoes is 390 cm², what average pressure (not including atmospheric pressure) does the column of acrobats exert on the floor? Pa (c) Will the pressure be the same if a different acrobat is on the bottom?

You have a spring about which you know little, but with experimenting you discover that it extends 1 cm when a mass 41.15 is applied to it.  How far would it extend if a mass 79.49 were applied? Give your answer in meters, not cm.

1.Given the diagram of vectors v and w below (a) Use the graph to geometrically find v + w (b) Use the graph to geometrically find v – w (c) Write v in component form: _____________ (d) Write w in component form: _____________ (e) Algebraically calculate the sum v + w